10212131200 has 192 divisors, whose sum is σ = 26933789520. Its totient is φ = 3812556800.

The previous prime is 10212131179. The next prime is 10212131201. The reversal of 10212131200 is 213121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212131201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7125684 + ... + 7127116.

Almost surely, 2^10212131200 is an apocalyptic number.

10212131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466894760).

10212131200 is an abundant number, since it is smaller than the sum of its proper divisors (16721658320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10212131200 is a wasteful number, since it uses less digits than its factorization.

10212131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10212131200 its reverse (213121201), we get a palindrome (10425252401).

Subtracting from 10212131200 its reverse (213121201), we obtain a palindrome (9999009999).

The spelling of 10212131200 in words is "ten billion, two hundred twelve million, one hundred thirty-one thousand, two hundred".